On Sushchansky p-groups
| Autor: | Bondarenko, I.V., Savchuk, D.M. |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Popis: | We study Sushchansky p-groups introduced in [Sus79]. We recall the original definition and translate it into the language of automata groups. The original actions of Sushchansky groups on p-ary tree are not level-transitive and we describe their orbit trees. This allows us to simplify the definition and prove that these groups admit faithful level-transitive actions on the same tree. Certain branch structures in their self-similar closures are established. We provide the connection with, so-called, G groups [BGS03] that shows that all Sushchansky groups have ˇ intermediate growth and allows to obtain an upper bound on their period growth functions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|